Answered

Join the IDNLearn.com community and get your questions answered by knowledgeable individuals. Ask anything and receive prompt, well-informed answers from our community of knowledgeable experts.

Complete the following item based on the given information.
The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, what is the constant of proportionality for the group of boxes?
k = ________

Sagot :

Pepe11idn
k = 325/13
..............................................

Answer:

The constant of proportionality for the group of boxes is 25.

Step-by-step explanation:

Given : The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches.

To find : What is the constant of proportionality for the group of boxes?

Solution :

The volume of a box(V) varies directly with its length(l).

Using k for the constant of proportionality.

We can express the relationship between V and l

If V varies directly with l.  

V = kl

According to question,

If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, then  

[tex]325=13k\\\\\Rightarrow\ k=\frac{325}{13}\\\\\Rightarrow\ k=25[/tex]

Therefore, The constant of proportionality for the group of boxes is 25.

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.